10100131021181 has 2 divisors, whose sum is σ = 10100131021182. Its totient is φ = 10100131021180.

The previous prime is 10100131021171. The next prime is 10100131021217. The reversal of 10100131021181 is 18112013100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6710975208025 + 3389155813156 = 2590555^2 + 1840966^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100131021181 - 2⁶ = 10100131021117 is a prime.

It is a super-2 number, since 2×10100131021181² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100131021171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050065510590 + 5050065510591.

It is an arithmetic number, because the mean of its divisors is an integer number (5050065510591).

Almost surely, 2^{10100131021181} is an apocalyptic number.

It is an amenable number.

10100131021181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100131021181 is an equidigital number, since it uses as much as digits as its factorization.

10100131021181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 20.

Adding to 10100131021181 its reverse (18112013100101), we get a palindrome (28212144121282).

The spelling of 10100131021181 in words is "ten trillion, one hundred billion, one hundred thirty-one million, twenty-one thousand, one hundred eighty-one".